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Finding the Fourth Proportional to 6,446.84, 8,895.42 and 6,118.76

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Solution

The fourth proportional to 6,446.84, 8,895.42 and 6,118.76 is: 8,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.84 : 8,895.42 = 6,118.76 : x
  2. Step 2: Convert to fraction form
    6,446.84/8,895.42 = 6,118.76/x
  3. Step 3: Cross multiply
    6,446.84x = 8,895.42 × 6,118.76
  4. Step 4: Simplify right side
    6,446.84x = 54,428,940.08
  5. Step 5: Solve for x
    x = 54,428,940.08/6,446.84
  6. Step 6: Final answer
    x = 8,442.73

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.